For starters 4.7ohm is LESS resistance than the 10ohm you have already. Also you have it across the 5v rail and so it won't make a difference if you change it. All that resistor is doing is applying a constant load to the PSU to keep it on. Some ATX PSU's will trip out if there is no load. It isn't regulating anything!
I don't bother with the resistor in mine. What I do is simply leave the charger connected and switch the psu on and off by the mains. The current the charger pulls at rest is enough to keep the psu alive.
Personally I think there is something else wrong within your setup? Changing that resistor certainly won't help. You could try removing it altogether as I have done?